(6-7i)+(10i+14)=

Solution for (6-7i)+(10i+14)= equation:

Simplifying
(6 + -7i) + (10i + 14) = 0

Remove parenthesis around (6 + -7i)
6 + -7i + (10i + 14) = 0

Reorder the terms:
6 + -7i + (14 + 10i) = 0

Remove parenthesis around (14 + 10i)
6 + -7i + 14 + 10i = 0

Reorder the terms:
6 + 14 + -7i + 10i = 0

Combine like terms: 6 + 14 = 20
20 + -7i + 10i = 0

Combine like terms: -7i + 10i = 3i
20 + 3i = 0

Solving
20 + 3i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + 3i = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3i = 0 + -20
3i = 0 + -20

Combine like terms: 0 + -20 = -20
3i = -20

Divide each side by '3'.
i = -6.666666667

Simplifying
i = -6.666666667